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Bose Einstein condensates of spin-1 atoms are known to exist in two differentphases, both having spontaneously broken spin-rotation symmetry, aferromagnetic and a polar condensate. Here we show that in two spatialdimensions it is possible to achieve a quantum phase transition from a polarcondensate into a singlet phase symmetric under rotations in spin space. Thiscan be done by using particle density as a tuning parameter. Starting from thepolar phase at high density the system can be tuned into a strong-couplingintermediate-density point where the phase transition into a symmetric phasetakes place. By further reducing the particle density the symmetric phase canbe continuously deformed into a Bose-Einstein condensate of singlet atomicpairs. We calculate the region of the parameter space where such a molecularphase is stable against collapse.

Symmetry-restoring quantum phase transition in a two-dimensional spinor condensate